Low discrepancy sequences generated by piecewise linear Maps

Low discrepancy sequences generated by piecewise linear Maps
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由分段线性映射生成的低差异序列

DOI:
10.1515/mcma.1998.4.2.141
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发表时间:
1998
期刊:
Monte Carlo Methods Appl.
影响因子:
--
通讯作者:
M. Mori
M. Mori
中科院分区:
--
文献类型:
--
作者:
M. Mori

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从动力系统的角度出发,利用分段线性马尔可夫映射构造低差序列。我们的主要工具是与映射相关的Perron-Frobenius算子的谱。给出了-算子谱的具体求取方法。
We construct low discrepancy sequences using piecewise linear Markov maps from the view point of a dynamical system. Our main tool is the spectrum of the Perron-Frobenius operator associated with the map. We give also a concrete way to get the spectrumof the -operator.